If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?

A) $0.89
B) $0.79
C) $1.29
D) $1.09

Answers

Answer 1
4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03. Let the cost of 1 notebook be x and that of 1 package of pens be y.Therefore, cost of 4 notebooks = 4x, cost of 3 packages of pens = 3y.So, 4x + 3y = $7.43 ...(1)Also, cost of 5 notebooks = 5x, cost of 2 packages of pens = 2y.Therefore, 5x + 2y = $7.03 ...(2)Multiply equation (1) with 5, we get

5(4x + 3y) = $7.43 × 5

or, 20x + 15y = $37.15 ...(3)

Multiply equation (2) with 4, we get

4(5x + 2y) = $7.03 × 4

or, 20x + 8y = $28.12 ...(4)

Subtract (4) from (3), we have

20x + 15y-(20x + 8y) = $37.15 - $28.12

or, 7y = $9.03

or, y = $1.29

4x + 3y = $7.43

or, 4x + 3($1.29) = $7.43

or, 4x + $3.87 = $7.43

or, 4x = $7.43 - $3.87

or, 4x = $3.56

or, x = $0.89

Answer:

A) $0.89

Hope you could get an idea from here.

Doubt clarification - use comment section.


Related Questions

loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?

Answers

Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Loria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

Evaluate the expression shown below and write your answer as a mixed number in simplest form.

Answers

The answer would be -8 1/6.

Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1).

PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW

Answers

Answer:

The equation of a line: y = ax + b

<=> 2= -a +b => a= b - 2 (1)

<=> -1=b (2)

from (1), (2) => b= -1; a = -3

Step-by-step explanation:

a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?

Answers

Answer:

12 apples

Step-by-step explanation:

32/8=4 Then you multiply it by 3 to get 12.

Answer:

41:9

Step-by-step explanation:

You have 32 red apples.

And a ratio of red apples to green.

The ratio is 8:3.

This ratio is a simplified veiw of it.

You need to do,

32 ÷ 8

which equals 3.

So then multiply both sides of the ratio by 3.

8 × 3 is 32

3 × 3 is 9.

Your new ratio is,

32:9

Red apples to green apples.

Now since you need the total amount of apples to green apples.

Add 32 and 9.

Which is 41 total apples.

Your new ratio is,

41:9

pls answer quickly But the answer

which of the following measurement is the smallest?

A) kilogram

B) Gram

C) centigram

D) milligram​

Answers

Answer: Milligram is the smallest

Step-by-step explanation:

mr. jessup and mr allen i ready mathematics pages 77 and 78

Answers

If this is i-ready it shouldn’t be difficult nor should you be using Brainly if it’s a diagnostic or something.

Please help? Im stuck.

Answers

Answer:

which solution are you looking for?

Step-by-step explanation:

Solving for X would be: x<0

Graph inequality would be the left side shaded i think

han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?

Answers

Answer:

$57.75

Step-by-step explanation:

7×33/4

231/4

57.75

Eric leaves his house on his bike. He rides at a constant speed until he reaches a lemonade stand, where he parks his bike and takes a rest. Then he turns around and bikes home as fast as he can.

Answers

Answer: What's even the question? It's not asking anything to solve

Step-by-step explanation:

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

Step-by-step explanation:

6 miles / 30 minutes = 0.2 miles /minutes

Help help help help help math

Answers

Answer:

8

Step-by-step explanation:

Andrew loses
31 pencils in
October
What is the
lose rate per
day?

Answers

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

I don’t understand this question

Answers

Answer:

1/64

Step-by-step explanation:

Answer: that would be 1/64

Step-by-step explanation:

for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2

and 8*8=64 therefor the answer is 1/64

*you put it over 1 to get rid of the negative exponents*

What is the surface area of the rectangular prism?
2 m
10 m
5 m

Answers

Answer:

10m

Step-by-step explanation:

Find the product (3a- 4a)^2

Answers

I’m not sure but i think it’s either -1a or -7a (depends if u do the exponent or what inside the brackets first)

44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *​

Answers

Answer:

check online for more information

An advantage of using graphics is the ability to
A) avoid data.
B) limit communication of information.
C) present information in a brief format.
D) There are no advantages to graphics.

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

An advantage of using graphics is to present information briefly.

please help me quick

Answers

Answer:

D) The answer is AB and HG

Step-by-step explanation:

sides that are equal:

AD=EH

DC=EF

BC=FG

AB=HG

Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00

Answers

Answer:

Step-by-step explanation:

A

1 pencil costs 0.40 dollars.

1 pencils cost 2 times 0.40 = .80 dollars

B

Candy     0.95

eraser     0.15

2 pencils 0.80

Total        1.90                                          Add  

C

She started with   5.00 dollars

She spent             1.90 dollars               Subtract

Here change was  3.10 dollars.

Four tickets to the baseball game and 4 meal tickets cost $144.
The game tickets are 3 times as much as the meal ticket.
How much does each game ticket cost?

Answers

Answer: $108

Step-by-step explanation:

what is 144 / 4 ? 36 = one meal ticket

what is 36 x 3 ? 108

each game ticket costs 108 dollars

John had $55. He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the amount of money he had after splitting the money with his cousins.

55 – 3 • 9 + 12 ÷ 3

Based on this expression, what is the amount of money John had remaining?
A.$160
B.$32
C.$24
D.$20

Answers

$32 bc he spent $3 per 9 days

Help please!!
A small party balloon has a maximum volume of 500 cm3. Unfortunately, it has a leak that allows 10 cm of air to escape every second. a Write down an equation for the volume (v cm) of the party balloon, t secs after it starts to leak.​

Answers

Step-by-step explanation:

I think you mean that 10 cm³ of air are escaping every second.

and we start with a volume of 500 cm³.

V = 500 - 10t 0 <= t <= 50

because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).

Please help find these values.

Answers

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)

Answers

Answer: Perpendicular

Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.

Answer:

Perpendicular

Step-by-step explanation:

Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.

To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.

Calculate the slope of the lines by dividing the difference in y by the difference in x:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]

m₂ is the negative reciprocal of m₁, so these lines are perpendicular.

Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.

40% of _______ is 16

Answers

Answer:

40

Step-by-step explanation:

40/100=0.4

0.4 x 40= 16

so 40% of 40 is 16

Answer:

,40

Step-by-step explanation:

40% of 40 is equal to 16

à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?

Answers

it takes 6.25 cups to make 5 batches

YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ?

Answers

Im good at math, what do you need help with?

if x=y+z transpose for z

Answers

Answer:

x = y + z

=> z = y - x

Step-by-step explanation:

Hope u understand

Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make

Answers

Answer:

Sheldon makes $8 profit

Step-by-step explanation:

The fraction of the profit that belongs to Sheldon is ...

  Sheldon / Leonard = 2 / 5

  Sheldon / Total = 2 / (2 + 5) = 2/7

Then Sheldon's portion of the $28 profit is ...

  Sheldon's profit = 2/7 × $28 = $8

Sheldon makes $8 profit on the first item they sell.

PLEASE HELP!!!
CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

I think D because 2 negative equal a positive

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

I believe the correct answer choice is D!

This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22[tex]\frac{2}{5}[/tex] a positive number and the 40[tex]\frac{1}{5}[/tex] a positive as well.

The parenthesis are representing the multiplication proccesses.

-(-x) = x  ---> positive number

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